Des résultats récents du calcul des variations

C. B. Morrey

Séminaire Jean Leray (1961-1962)

  • page 1-62

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Morrey, C. B.. "Des résultats récents du calcul des variations." Séminaire Jean Leray (1961-1962): 1-62. <http://eudml.org/doc/112476>.

@article{Morrey1961-1962,
author = {Morrey, C. B.},
journal = {Séminaire Jean Leray},
language = {fre},
pages = {1-62},
publisher = {Collège de France},
title = {Des résultats récents du calcul des variations},
url = {http://eudml.org/doc/112476},
year = {1961-1962},
}

TY - JOUR
AU - Morrey, C. B.
TI - Des résultats récents du calcul des variations
JO - Séminaire Jean Leray
PY - 1961-1962
PB - Collège de France
SP - 1
EP - 62
LA - fre
UR - http://eudml.org/doc/112476
ER -

References

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  1. [1] C.B. Morrey, Jr., Existence and differentiability theorems for variational problems for multiple integrals, Partiel differential equations and continuum mechanics, Univ. of Wisconsin Press, Madison, Wis., 1961, pp.241-270. Zbl0123.08005MR121690
  2. [2] --, Existence and differentiability theorems for the solutions of variational problems, Bull. Amer. Math. Soc.46 (1940), pp. 439-458. Zbl0063.04105MR2473JFM66.0476.02
  3. [3] --, Multiple intégral problems in the calculus of variations and related topics, Univ. of Calif. Publ. in Math., N.S.1 (1943), pp.1-130. Zbl0063.04107MR11537
  4. [4] --, Multiple intégral problems in the calculus of variations and related topics, Ann. Sc. Norm. Pisa III14 (1960), 1-61. Zbl0094.08104MR115117
  5. [5] O.A. Ladyzenskaya et N.N. Ural'tseva, Quasi-linear elliptic equations and variational problems with many independent variables, Russian Math. Surveys, London Math. Soc., Vol.16, n° 1, Jan-Feb. 1961, pp.17-91. Zbl0142.37602
  6. [6] L. Tonelli, Fondamenti del calcolo delle variazioni, Bologna, Zanichelli (3 vol.) JFM48.0581.09
  7. [7] --, Sur la semi-continuité des intégrales doubles du calcul des variations, Acta Math.53 (1929), pp.325-346. Zbl55.0899.02MR1555297JFM55.0899.02
  8. [8] --, L'estremo assoluto degli integrali doppi, Ann. Sc. Norm. Pisa (2) 3 (1933), pp. 89-130. Zbl0006.11805JFM59.0500.02
  9. [9] L. Nirenberg, On elliptic partial differential equations, Ann. Sc. Norm. PisaIII13 (1959), pp.1-48. MR109940
  10. [10] R. Courant, Dirichlet's principal, conformal mapping, and minimal surfaces, Interscience Press, New-York (1950). Zbl0040.34603MR36317
  11. [11] C.B. Morrey, Jr., Quasi-convexity and the lower semi-continuity of multiple integrals, Pac. J. Math.2 (1952), pp.25-53. Zbl0046.10803MR54865
  12. [12] J. Serrin, On the definition and properties of certain variational integrals, Trans. Amer. Math. Soc.101 (1961), pp.139-167. Zbl0102.04601MR138018
  13. [13] C.Y. Pauc, La méthode métrique en calcul des variations, Paris, Herman, 1941. En particulier p.54. Zbl0027.10502
  14. [14] J. Moser, A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations, Comm. Pure appl. Math.13 (1960), pp.457-468. Zbl0111.09301MR170091
  15. [15] G. Stampacchia, Contributi alla regolarizzazione delle soluzioni dei problemi al contorno per equazioni del secondo ordine ellitiche, Ann. Sc. Norm. Sup., PisaIII12 (1958), pp.223-244. Zbl0082.09701MR125313
  16. [16] C.B. Morrey, Jr., Second order elliptic equations in several variables and Hölder continuity, Math. Zeit.72 (1959), pp.146-164. Zbl0094.07802MR120446
  17. [17] G. Stampacchia, Problemi al contorno ellittici, con dati discontinui, dotati di soluzioni hölderiane, Ann. Mat. Pura Appl. (IV), 51 (1960), pp. 1-38. Zbl0204.42001MR126601
  18. [18] P.D. Lax et A.N. Milgram, Parabolic equations, Ann. of Math. Studies n°33, Princeton University Press, 1954, pp.167-190, particulièrement p.169. Zbl0058.08703MR67317

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